Ballistic transport and densiy of states of modulated bilayer graphene

The magnetic band structure for electrostatically modulated bilayer graphene is calculated. We include the $K$ and $K^\prime$ valleys. $A$ and $B$ sublattices as well as the bilayer crystalline structure. The energy eigenvalues are obtained as functions of wave vector as well as magnetic field.\footnote{Godfrey Gumbs, Andrii Iurov, Danhong Huang, and Liubov Zhemchuzhna: Phys. Rev. B {\bf 89}, 241407(R) (2014).} Our results are then employed in calculating density-of-states and ballistic conductance. Comparison with recent experimental results is presented.